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Simplifying 5(5x + -5) + -2x = 7x + -9 Reorder the terms: 5(-5 + 5x) + -2x = 7x + -9 (-5 * 5 + 5x * 5) + -2x = 7x + -9 (-25 + 25x) + -2x = 7x + -9 Combine like terms: 25x + -2x = 23x -25 + 23x = 7x + -9 Reorder the terms: -25 + 23x = -9 + 7x Solving -25 + 23x = -9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -25 + 23x + -7x = -9 + 7x + -7x Combine like terms: 23x + -7x = 16x -25 + 16x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 -25 + 16x = -9 + 0 -25 + 16x = -9 Add '25' to each side of the equation. -25 + 25 + 16x = -9 + 25 Combine like terms: -25 + 25 = 0 0 + 16x = -9 + 25 16x = -9 + 25 Combine like terms: -9 + 25 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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